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Finding the Third Proportional to 129,802.50 and 278,397

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Solution

The third proportional to 129,802.50 and 278,397 is: 597,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,802.50 : 278,397 = 278,397 : x
  2. Step 2: Convert to fraction form
    129,802.50/278,397 = 278,397/x
  3. Step 3: Cross multiply
    129,802.50x = 278,397 × 278,397
  4. Step 4: Simplify right side
    129,802.50x = 77,504,889,609
  5. Step 5: Solve for x
    x = 77,504,889,609/129,802.50
  6. Step 6: Final answer
    x = 597,098.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.